823029568 has 56 divisors (see below), whose sum is σ = 1757760264. Its totient is φ = 380928000.

The previous prime is 823029553. The next prime is 823029569. The reversal of 823029568 is 865920328.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 797949504 = 5008^2 + 28248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823029569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60168 + ... + 72568.

Almost surely, 2^823029568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878880132).

823029568 is an abundant number, since it is smaller than the sum of its proper divisors (934730696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823029568 is a wasteful number, since it uses less digits than its factorization.

823029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12491 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 823029568 is about 28688.4919087776. The cubic root of 823029568 is about 937.1414471948.

The spelling of 823029568 in words is "eight hundred twenty-three million, twenty-nine thousand, five hundred sixty-eight".